Rectangular Window: Difference between revisions
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(Created page with "{{DISPLAYTITLE:Rectangular Window (Line Clipping)}} == Description == Line clipping is the process of removing lines or portions of lines outside an area of interest. Typically; any line or part thereof which is outside of the viewing area is removed. Here, the viewing area is rectangular. == Related Problems == Generalizations: Convex Polygonal Window Related: Convex Polyhedral Window == Parameters == <pre>n: number of lines</pre> == Table of Algorithm...") |
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== Parameters == | == Parameters == | ||
$n$: number of lines | |||
== Table of Algorithms == | == Table of Algorithms == | ||
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| [[Cohen–Sutherland (Rectangular Window Line Clipping)|Cohen–Sutherland]] || 1967 || $O(n)$ || $O({1})$ | | [[Cohen–Sutherland (Rectangular Window Line Clipping)|Cohen–Sutherland]] || 1967 || $O(n)$ || $O({1})$ || Exact || Deterministic || [https://books.google.com/books/about/Principles_of_interactive_computer_graph.html?id=inJ8AAAAIAAJ Time] | ||
|- | |- | ||
| [[Liang–Barsky (Rectangular Window Line Clipping)|Liang–Barsky]] || 1984 || $O(n)$ || $O({1})$ | | [[Liang–Barsky (Rectangular Window Line Clipping)|Liang–Barsky]] || 1984 || $O(n)$ || $O({1})$ || Exact || Deterministic || [https://dl.acm.org/doi/10.1145/357332.357333 Time] | ||
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| [[Nicholl–Lee–Nicholl (Rectangular Window Line Clipping)|Nicholl–Lee–Nicholl]] || 1987 || $O(n)$ || $O({1})$ | | [[Nicholl–Lee–Nicholl (Rectangular Window Line Clipping)|Nicholl–Lee–Nicholl]] || 1987 || $O(n)$ || $O({1})$ || Exact || Deterministic || [https://dl.acm.org/doi/10.1145/37401.37432 Time] | ||
|- | |- | ||
| [[Fast clipping (Rectangular Window Line Clipping)|Fast clipping]] || 1987 || $O(n)$ || $O({1})$ | | [[Fast clipping (Rectangular Window Line Clipping)|Fast clipping]] || 1987 || $O(n)$ || $O({1})$ || Exact || Deterministic || [https://www.sciencedirect.com/science/article/pii/0097849387900616 Time] | ||
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|} | |} | ||
== Time Complexity | == Time Complexity Graph == | ||
[[File:Line Clipping - Rectangular Window - Time.png|1000px]] | [[File:Line Clipping - Rectangular Window - Time.png|1000px]] | ||
== References/Citation == | == References/Citation == | ||
https://dl.acm.org/doi/10.1145/357332.357333 | https://dl.acm.org/doi/10.1145/357332.357333 | ||
Latest revision as of 09:07, 28 April 2023
Description
Line clipping is the process of removing lines or portions of lines outside an area of interest. Typically; any line or part thereof which is outside of the viewing area is removed. Here, the viewing area is rectangular.
Related Problems
Generalizations: Convex Polygonal Window
Related: Convex Polyhedral Window
Parameters
$n$: number of lines
Table of Algorithms
| Name | Year | Time | Space | Approximation Factor | Model | Reference |
|---|---|---|---|---|---|---|
| Cohen–Sutherland | 1967 | $O(n)$ | $O({1})$ | Exact | Deterministic | Time |
| Liang–Barsky | 1984 | $O(n)$ | $O({1})$ | Exact | Deterministic | Time |
| Nicholl–Lee–Nicholl | 1987 | $O(n)$ | $O({1})$ | Exact | Deterministic | Time |
| Fast clipping | 1987 | $O(n)$ | $O({1})$ | Exact | Deterministic | Time |
Time Complexity Graph
